Which relation is a function?

Answer:

d. 75,595

Step-by-step explanation:

Given the estimated regression equation :

y=550 + 30x1 + 9x2

if number of items made (x) = 2500 ; number of stores stocking the product (x2) = 5

Predicted profit (y) will be :

Substitute the values x1 = 2500 and x2 = 5 into the estimated regression model:

y=550 + 30(2500) + 9(5)

y = 550 + 75000 + 45

y = 75595

Hence, the predicted profit will be 75,595

Answer:

y = 4/5x + 1

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

y = 4/5x + 1

Answer:4y-5x=5

Step-by-step explanation:

After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:

Amount remaining = Initial amount × (1/2)^(number of half-lives)

In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.

So, the equation becomes:

Amount remaining = Initial amount × (1/2)^4

Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.

Simplifying the equation:

Amount remaining = Initial amount × (1/16)

Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

for such more question on radioactive isotope

https://brainly.com/question/20596678

#SPJ8

Answer:

3,4 for cups of hot cocoa

4 for marshmallows

Step-by-step explanation:

dfggdr

Cups of hot cocoa                                                      Marshmallows

1.                                                                                   2.

2.                                                                                  4.

3.                                                                                  6.

8.                                                                                  16.

The measure of the spread of scores within a set of data is termed as standard deviation. Usually, we are interested in the standard deviation of a population. since, we are often presented with data from a sample only, we can estimate the population standard deviation from a sample standard deviation.

When to use the sample or population standard deviation ?

Population standard deviation is of great intrest because our population contains all the values we are interested in. Therefore, we would normally calculate the population standard deviation In two cases first when we have the entire population or second we have a sample of a larger population, but we are only interested in this sample and do not wish to generalize our findings to the population. but, in statistics, a sample is presented from which we wish to estimate (generalize to) a population, and the standard deviation is no exception to this.

Thus it can be concluded that, if we have all is a sample, but we wish to make a statement about the population standard deviation from which the sample is drawn, we need to use the sample standard deviation. There a Confusion can often arise as to which standard deviation to use due to the name "sample" standard deviation incorrectly being interpreted and not the estimate of the population standard deviation based on the sample.

Learn more about Standard deviation at:

https://brainly.com/question/475676

#SPJ4

Answer:

AC ; AB ; BC

Step-by-step explanation:

Recall that largest angles will oppose largest sides in a triangle, therefore, the angles in order of greatest to smallest are:

<B (84); <C (60);  <A (36)

Their opposite sides will keep the same order from largest to smallest:

AC ; AB ; BC

The side lengths, in order from greatest to least, are

AC

AB

BC

Answer:

She has to save $48 dollars each week

Step-by-step explanation:

For this equation, all you have to do is divide 720 dollars by 15 weeks, or 720 divided by 15. That gets you your answer of 48.

Hope this helps!

Solution:

Given that;

A stamp collection consists of 10 albums, each containing 42 pages.

The total number of pages in the 10 albums is

If 40 stamps fits on a page, the number of stamps in the total collection will be

Hence, the answer is 16,800 (Option 5)

Answer:

Probability that he was taught by using method A is 14/17

Step-by-step explanation:

Following probabilities are given -  

P (F|A) = 0.2

P (F|B) = 0.1

P (A) = 0.7

P (B) = 0.3

Now, P(A|F) = { P (F|A)* P(A)}/{{ P (F|A)* P(A)} + P (F|B)* P(B)}}

P(A|F) = (0.2*0.7)/( (0.2*0.7)+(0.1*0.3)) = 14/17

Step-by-step explanation:

\(x - 6 = - 4 \\ \\ \implies \: x = - 4 + 6 \\ \\ \implies \: x = 2\)

Answer:

2

Step-by-step explanation:

because if you substitute 2-6 you will get negative 4

Answer:

?????????????????????????????????

Answer:

B

Step-by-step explanation:

Answer:

(a)   x follows a poisson distribution with parameter λ = 8 / hour

(b)   P( X = 5 ) = 0.09160

      P( X ≥ 5 ) = 0.9004

(c)   the expected value  of the number of nonconforming parts produced during a 120-min period = 16 nonconforming parts per 120 minutes

The standard deviation = 4

(d)   P(X ≥ 20) = 0.5297

      P( X ≤  10) = 0.0108

Step-by-step explanation:

Suppose nonconforming parts are produced with a rate = 8 / hour (i.e. on average, 8 nonconforming parts will be made during a production period of one hour).

(a)  If x denotes the number of nonconforming parts made during one hour, then : x follows a poisson distribution with parameter λ = 8 / hour

(b)

What is the probability that exactly 5 nonconforming parts are produced during a 1-hour period? What is the probability that at least 5 nonconforming parts are produced during a 1-hour period?

the probability that exactly 5 nonconforming parts are produced during a 1-hour period can  be computed as:

P( X = 5 ) = \(e^{- \lambda } \lambda^x /x!\)

P( X = 5 ) = \(e^{- 8 }(8)^5 /5!\)

P( X = 5 ) = 0.09160

the probability that at least 5 nonconforming parts are produced during a 1-hour period

P( X ≥ 5 ) = 1 -  P( X ≤ 4)

\(P( X \geq 5 ) = 1 - \sum \limits ^4_{x=0} e^{-\lambda} \lambda ^x/x!\)

\(P( X \geq 5 ) = 1 - (e^{-8} 8 ^4/4! + e^{-8} 8 ^3/3! + e^{-8} 8 ^2/2! +e^{-8} 8 ^1/1! + e^{-8} 8 ^0/0! )\)

\(P( X \geq 5 ) = 1 - 0.0996\)

P( X ≥ 5 ) = 0.9004

c)  What are the expected value and standard deviation of the number of nonconforming parts produced during a 120-min period?

the expected value  of the number of nonconforming parts produced during a 120-min period \(\lambda = 8 \times \dfrac {120}{60}\)

= 16 nonconforming parts per 120 minutes

The standard deviation = \(\lambda^{1/2}\)

The standard deviation = \((16)^{1/2}\)

The standard deviation = 4

(d) What is the probability that at least 20 nonconforming parts produced during a 2.5-hour period? That at most 10 nonconforming parts produced during this period?

During a 2.5 - hour period , the expected value = 8 × 2.5 = 20

As such, the probability  that at least 20  nonconforming parts produced during a 2.5-hour period is:

P(X ≥ 20) = 1 - P(X ≤ 19)

\(P( X \geq 20 ) = 1 - \sum \limits ^{19}_{x=0} e^{-\lambda} \lambda ^x/x!\)

\(P( X \geq 20 ) = 1 - (e^{-8} 8 ^{19}/19! + e^{-8} 8 ^{18}/{18}! + e^{-8} 8 ^{17}/17!+...+e^{-8} 8 ^2/2! +e^{-8} 8 ^1/1! + e^{-8} 8 ^0/0! )\)

P(X ≥ 20) = 1 -  0.4703

P(X ≥ 20) = 0.5297

Probability that at most  10 nonconforming parts produced during this period is:

P( X ≤  10) = \(\sum \limits ^{10}_{x=0} e^{-\lambda} \lambda ^x/x!\)

\(P( X \leq 10) = e^{8} 8 ^{10}/{10}! + e^{8} 8 ^{9}/{9}! + e^{8} 8 ^{8}/{8}! + ...+ e^{8} 8 ^{2}/{2}!+ e^{8} 8 ^{1}/{1}! + e^{8} 8 ^{0}/{0}!\)

P( X ≤  10) = 0.0108

Following are the calculation to the given points:

For point a)

With parameter, x follows the poisson distribution is \(\lambda=\frac{8}{hour}\)

For point b)

The probability that exactly 5 nonconforming parts are generated in a one-hour period.

\(\to P(X=5)=e^{-\lambda }\frac{\lambda ^{x}}{x!} =0.0916\)

There is a good chance that at least 5 nonconforming parts exist.

\(\to P(X\geq 5) =1-P(X\leq 4)\)

                 \(=1 -\sum_{x=0}^{4} \ e^{-\lambda } \frac{\lambda ^{x}}{x!} \\\\=1-0.0996\\\\=0.9004\)

For point c)

Expected value for 120-minute period \(\lambda=8\times \frac{120}{60} =16\) 120 minutes of nonconforming sections

\(\to \sigma ==(\lambda)^{\frac{1}{2} =(16)^{\frac{1}{2}} =4\)

For point d)

Expected value for 2.5 hours

\(\to \lambda =8\times 2.5=20\)

As a result, there is a good chance that at least 20 nonconforming items were manufactured.

\(\to P(X\geq 20)=1-P(X\leq 19)\)

                   \(=1-\sum_{x=0}^{19}\ e^{-\lambda }\frac{\lambda^{x}}{x!}\\\\=1-0.4703\\\\=0.5297\)

There is a chance that no more than 10 nonconforming parts were created.

\(\to P(X\leq 10)=\sum_{x=0}^{10}e^{-\lambda }\frac{\lambda ^{x}}{x!} =0.0108\)

Learn more:

brainly.com/question/7985652

Answer:

Step-by-step explanation:

a. 100005

1 x 1000000 + 0 x 100,000 +  0 x 10000 + 0 x 1000 + 0 x 100 +  0 x 10 + 5 x1

1 x 10^6  + 0  x 10^5  + 0 x 10^4  + 0 x 10^3 + 0 x 10^2 +  0 x 10^1  + 5 x 1

= 100,000 + 0 + 0 +0 +0 + 5

b.  84016

 8 x 10000 + 4 x 1000 + 0 x 100 + 1 x 10 + 6 x 1

80000 + 4000 + 0 + 10 + 6

c. 9078

9 x 1000 + 0 x 100 + 7 x 10  + 8 x 1

9000 + 0 +7 + 8

d. 113

1 x 100 + 1 x 10 + 3 x 1

100 + 10 + 3

e. 75

7 x 10 + 5 x 1

70 + 5

Answer:

884.4

Step-by-step explanation:

Answer:

The original price is 895.12$

I haven't done percent in ages, lmk if you get it right
kudos to any other answer besides this

Step-by-step explanation:

Answer:

I'm pretty sure the answer is B

Step-by-step explanation:

Hope this helped :) Sorry if its wrong

Answer:

b

Step-by-step explanation:

I like to think of it as this:

If the circle is filled, it is \(\leq or \geq \\\) (more)

If not, it's < or >

The arrow points in the direction the line is going.

In this graph, the line is going to the left. So is the symbol.

Answer:

C

Step-by-step explanation:

We want to find the number of students that are not good in any of the courses.

There are 80 students.

45 are good in mathematics

15 are good in both, mathematics and in English

13 are good in both, mathematics and psychology

16 are good in both English and psychology

20 are good in psychology

9 are good in all of the courses.

First, we know that we have:

45 good in math + 20 good in psychology = 65 students good in something.

But we know that:

13 are good in both, mathematics and psychology

This means that there are 13 students that are being counted twice, so we need to subtract 13.

45 + 20 - 13  = 52 students good in something.

Now we know that:

15 are good in both, mathematics and in English

16 are good in both English and psychology

9 are good in all of the courses.

So one would want to also count these students, but notice that these are already good in mathematics or in psychology, so these are already counted.

And we can't see the number of students that are only good with English, so we can conclude that

52 students are good in something.

then 28 students are not good at any of the 3 courses.

If you want to learn more, you can read:

https://brainly.com/question/24350406

Answer:

x = 2

Step-by-step explanation:

\(\frac{x+1}{x+3}\) = \(\frac{3}{5}\) ( cross- multiply )

5(x + 1) = 3(x + 3) ← distribute parenthesis on both sides

5x + 5 = 3x + 9 ( subtract 3x from both sides )

2x + 5 = 9 ( subtract 5 from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

Point H is the ortho-center of our given triangle and option c is the correct choice.

We have been given an image of a triangle. We are asked to find the term that describes point H.

We can see that point H is the point, where, all the altitudes of our given triangle EFF are intersecting.

We know that ortho-center of a triangle is the point, where all altitudes of triangle intersect. Therefore, point H is the ortho-center of our given triangle and option c is the correct choice.

for such more question on ortho-center

https://brainly.com/question/7552525

#SPJ8

The corresponding angles and sides that show that the triangles are similar are: <A ≅ <R; <K ≅ <T; <M ≅ <L

RL/AM = RT/AK = TL/KM = 1.5.

Similar triangles are triangles that look alike but might be bigger or smaller than each other. This means that their matching or corresponding angles are the same and their matching sides have the same proportional length.

Therefore, from the image, we have corresponding pairs of angles that are congruent as follows:

Angles A and R

Angles K and T

Angles M and L

The corresponding sides that are proportional are:

AM and RL, which is RL/AM = 6/4 = 1.5

AK and RT, which is RT/AK = 7.5/5 = 1.5

KM and TL, which is TL/KM = 9/6 = 1.5

Therefore, the triangles are similar.

Learn more about Similar triangles on:

https://brainly.com/question/27996834

#SPJ1

Answer:

\(m = -\frac{23}{42}\)

Step-by-step explanation:

here is the equation for slope (m):

\(m = \frac{y_2-y_1}{x_2-x_1}\)

where:

y₂ = y-coordinate of 2nd point = -10

y₁ = y-coordinate of 1st point = 36

x₂ = x-coordinate of 2nd point = 93

x₁ =  x-coordinate of 1st point = 9

plug values into equation:

\(m =\frac{-10-36}{93-9} \\\\m = \frac{-46}{84} \\\)

reduce the fraction:

\(m = -\frac{23}{42}\)

Answer:

I and II

Step-by-step explanation:

All trapezoids have a midsegment. The base angles of isosceles trapezoids are always congruent. Because the top and bottom side are parallel, the same side interior angles are supplementary not complementary.

Answer:

An acute angle

Step-by-step explanation:

An acute angle is smaller than an obtuse ad right angle.

hope this helps and hope it was right 'cause I really don't know what you meant. :)

Answer:

slope is -3/10

Step-by-step explanation:

-10y=-3x+20

y= -3/10x+,20

The motor oil dealer will have to use both tanks since he needs 15 gallons of oil but will still be short by one gallons.

The motor oil dealer will have to use both tanks since he needs 15 gallons of oil but will still be short by one gallons.

A motor oil store has two tanks: one holds 12 gallons of oil, and the other holds 2 gallons of oil. In order to determine which tank will require to fill the bottles, the following computation must be done:

Quarts to gallons is 4 to 1.

1/4 x 60 = X

60/4 = X

15 = X

Since the motor oil vendor requires 15 gallons of oil, he must use both tanks but will still be short by 1 gallons

To learn more about gallons refer

https://brainly.com/question/24138072

#SPJ1

Answer:2, 7, 7, 6

Step-by-step explanation:

Answer:

1) 8/4 = 2

2) 21/3 = 7

3) 56/8 = 7

4) 48/8 = 6

Step-by-step explanation:

To convert a fraction into a whole number: Divide the numerator by the denominator.

What's a numerator?:

A numerator is the part of a fraction above the line. So, 8 in 8/4 is the numerator.

What's a denominator?:

A denominator is the  bottom number in a fraction. So, 4 in 8/4 is the denominator.

1) 8/4 = 8 divided by 4 = 2.

2) 21/3 = 21 divided by 3 = 7

3)56/ 8 = 56 divided by 8 = 7

4) 48 / 8 = 48 divided by 8 = 6

Answer:

Step-by-step explanation:

Sales Revenue:  $800.00

Cost of good sold:  $350,000.00

Subtract:                   $450,000.00

Sales Revenue:         $795,000.00

Cost of good sold:     $600,000.00

Subtract Sales             $195,000.00

Revenue from Cost

of goods sold.